Analysis of a Continuum of Processor-Sharing Models for Time-Shared Computer Systems

Abstract

Processor-sharing models of time-shared computer systems are defined and some new results are presented. The major emphasis of this research is on the modeling and analysis of new models of time-shared computer systems and on the finding of some fundamental properties which apply to the average number of customers in the system and the average response time functions for a large class of time-shared computer systems. The family of selfish scheduling algorithms is defined and the Laplace transform of the response time functions are obtained. A family of scheduling algorithms whose performance ranges between that of the RR system and the FB system is constructed. A simple relationship between the time-dependent average number of customers in the system and the average response time functions for a large class of M/M/1 systems is formulated. Finally, some fundamental properties are established which apply to the average response time functions for all time-shared computer systems.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1971
Accession Number
AD0739345

Entities

People

  • Jiunn Hsu

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Central Processing Units
  • Computer Science
  • Computers
  • Computing System Architectures
  • Differential Equations
  • Engineering
  • Equations
  • Markov Chains
  • Mathematical Models
  • Probability
  • Queueing Theory
  • Random Variables
  • Scheduling (Production)
  • Theses
  • Time Intervals
  • Weighting Functions

Fields of Study

  • Computer science

Readers

  • Calculus or Mathematical Analysis
  • Computer Networking
  • Control Systems Engineering.